Chapter 4.2, Problem 61E

For the following exercises, compute the values given within 0.01 by deciding on the appropriate f(x) and a, and evaluating $L\left(x\right)=f\left(a\right)+f\text{'}\left(a\right)\left(x-a\right)$. Check your answer using a calculator.

61. [T] $\sin \left(3.14\right)$